22. The First Law of Thermodynamics

Heat Equations for Special Processes & Molar Specific Heats

22. The First Law of Thermodynamics

# Heat Equations for Special Processes & Molar Specific Heats - Video Tutorials & Practice Problems

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### Heat Equations for Isobaric & Isovolumetric Processes

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2

Problem

ProblemHow much heat energy is needed to increase the temperature of 5 mol of an ideal diatomic gas by from 273K to 300K if the a) pressure is held constant; b) the volume is held constant?

A

a) 3928 J

b) 2806 J

B

a) 3928 J

b) 1683 J

C

a) 135 J

b) 135 J

D

a) 3.97 × 10^{4} J

b) 4.36 × 10^{4} J

3

example

### Calculating Temperature Changes

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PRACTICE PROBLEMS AND ACTIVITIES (44)

- CALC The temperature of 0.150 mol of an ideal gas is held constant at 77.0°C while its volume is reduced to 25...
- A cylinder contains 0.100 mol of an ideal monatomic gas. Initially the gas is at 1.00 * 10^5 Pa and occupies a...
- A cylinder contains 0.100 mol of an ideal monatomic gas. Initially the gas is at 1.00 * 10^5 Pa and occupies a...
- A cylinder contains 0.100 mol of an ideal monatomic gas. Initially the gas is at 1.00 * 10^5 Pa and occupies a...
- On a warm summer day, a large mass of air (atmospheric pressure 1.01 * 10^5 Pa) is heated by the ground to 26....
- A player bounces a basketball on the floor, compressing it to 80.0% of its original volume. The air (assume it...
- The engine of a Ferrari F355 F1 sports car takes in air at 20.0°C and 1.00 atm and compresses it adiabatically...
- A monatomic ideal gas that is initially at 1.50 * 10^5 Pa and has a volume of 0.0800 m^3 is compressed adiabat...
- A monatomic ideal gas that is initially at 1.50 * 10^5 Pa and has a volume of 0.0800 m^3 is compressed adiabat...
- Five moles of monatomic ideal gas have initial pressure 2.50 * 10^3 Pa and initial volume 2.10 m^3 . While und...
- During an isothermal compression of an ideal gas, 410 J of heat must be removed from the gas to maintain const...
- 5.0 g of nitrogen gas at 20°C and an initial pressure of 3.0 atm undergo an isobaric expansion until the volum...
- 5.0 g of nitrogen gas at 20°C and an initial pressure of 3.0 atm undergo an isobaric expansion until the volum...
- 5.0 g of nitrogen gas at 20°C and an initial pressure of 3.0 atm undergo an isobaric expansion until the volum...
- FIGURE CP19.80 shows a thermodynamic process followed by 0.015 mol of hydrogen. How much heat energy is transf...
- An ideal-gas process is described by p=cV^ /2, where c is a constant. a.Find an expression for the work done ...
- n moles of an ideal gas at temperature T1 and volume V1 expand isothermally until the volume has doubled. In t...
- n moles of an ideal gas at temperature T1 and volume V1 expand isothermally until the volume has doubled. In t...
- n moles of an ideal gas at temperature T1 and volume V1 expand isothermally until the volume has doubled. In t...
- An ideal-gas process is described by p=cV^ /2, where c is a constant. b. 0.033 mol of gas at an initial tempe...
- n₁ moles of a monatomic gas and n₂ moles of a diatomic gas are mixed together in a container. a. Derive an ex...
- (II) The pressure in an ideal gas is cut in half slowly, while being kept in a container with rigid walls. In ...
- (II) Show that the work done by n moles of an ideal gas when it expands adiabatically is W = nC_v( T₁ - T₂) , ...
- (II) Show, using Eqs. 19–7 and 19–16, that the work done by a gas that slowly expands adiabatically from press...
- (II) Consider the following two-step process. Heat is allowed to flow out of an ideal gas at constant volume s...
- At very low temperatures, the molar specific heat of many substances varies as the cube of the absolute temper...
- The beaker in FIGURE P19.45, with a thin metal bottom, is filled with 20 g of water at 20°C. It is brought int...
- A 100 cm³ box contains helium at a pressure of 2.0 atm and a temperature of 100℃. It is placed in thermal cont...
- Propane gas (C3H8) behaves like an ideal gas with g = 1.127. Determine the molar heat capacity at constant vol...
- An experimenter adds 970 J of heat to 1.75 mol of an ideal gas to heat it from 10.0°C to 25.0°C at constant pr...
- Heat Q flows into a monatomic ideal gas, and the volume increases while the pressure is kept constant. What fr...
- 0.10 mol of nitrogen gas follow the two processes shown in FIGURE P19.58. How much heat is required for each?
- One cylinder in the diesel engine of a truck has an initial volume of 600 cm^3. Air is admitted to the cylinde...
- A gas cylinder holds 0.10 mol of O₂ at 150°C and a pressure of 3.0 atm. The gas expands adiabatically until th...
- A gas cylinder holds 0.10 mol of O₂ at 150°C and a pressure of 3.0 atm. The gas expands adiabatically until th...
- The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. ...
- 14 g of nitrogen gas at STP are adiabatically compressed to a pressure of 20 atm. What are (d) the compressi...
- A monatomic gas is adiabatically compressed to ⅛ of its initial volume. Does each of the following quantities ...
- A monatomic gas is adiabatically compressed to ⅛ of its initial volume. Does each of the following quantities ...
- A cylinder contains 0.0100 mol of helium at T = 27.0°C. (a) How much heat is needed to raise the temperature t...
- A cylinder contains 0.0100 mol of helium at T = 27.0°C. (a) How much heat is needed to raise the temperature t...
- A cylinder contains 0.0100 mol of helium at T = 27.0°C. (a) How much heat is needed to raise the temperature t...