Titanium metal is used as a structural material in many high-tech applications, such as in jet engines. what is the specific heat of titanium in J/(g·°C) if it takes 89.7 J to raise the temeprature of a 33.0 g block of 5.20 °C? What is the molar heat capacity of titanium J/(mol·°C)?

Guida verificata passo dopo passo

Identify the given values: heat energy (Q) = 89.7 J, mass (m) = 33.0 g, and temperature change (ΔT) = 5.20 °C.

Use the formula for specific heat capacity (c), which is c = Q / (m * ΔT). Plug in the values to find the specific heat of titanium.

To find the molar heat capacity, first determine the molar mass of titanium. Titanium (Ti) has an atomic mass of approximately 47.87 g/mol.

Calculate the number of moles of titanium in the 33.0 g block using the formula: moles = mass / molar mass.

Use the formula for molar heat capacity (C), which is C = Q / (moles * ΔT). Calculate the molar heat capacity using the values obtained from the previous steps.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.

Durata del video:

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Specific Heat Capacity

Specific heat capacity is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. It is a crucial property that helps in understanding how substances respond to heat. The formula to calculate specific heat (c) is c = q / (m × ΔT), where q is the heat added, m is the mass, and ΔT is the change in temperature.

Video consigliato:

Percorso guidato

02:19

Heat Capacity

Molar Heat Capacity

Molar heat capacity is the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius. It is related to specific heat capacity but is expressed per mole rather than per gram. The relationship between specific heat and molar heat capacity can be established using the molar mass of the substance, allowing for conversions between the two.

Video consigliato:

Percorso guidato

02:19

Heat Capacity

Heat Transfer

Heat transfer refers to the movement of thermal energy from one object or substance to another due to a temperature difference. In the context of the question, it involves calculating how much energy is needed to change the temperature of titanium. Understanding heat transfer is essential for applying the concepts of specific and molar heat capacities in practical scenarios.

Video consigliato:

Percorso guidato

02:19

Heat Capacity

Pratica correlata

Domanda del libro di testo

Assuming that Coca-Cola has the saem specific heat as water [4.18 J/(g C)], calculate the amount of heat in kilojoules transferred when one can (about 350 g) is cooled from 25 C to 3 C.

1345

views

Domanda del libro di testo

Instant cold packs used to treat athletic injuries contain solid NH4NO3 and a pouch of water. When the pack is squeezed, the pouch breaks and the solid dissolves, lowering the tem-perature because of the endothermic reaction NH4NO31s2 ¡ NH4NO31aq2 ∆H = +25.7 kJ What is the final temperature in a squeezed cold pack that contains 50.0 g of NH4NO3 dissolved in 125 mL of water? Assume a specific heat of 4.18 J/(g C) for the solution, an initial temperature of 25.0 °C, and no heat transfer between the cold pack and the environment.

1652