Scelta multipla
If you double the size (volume) of a substance but keep its mass per unit volume the same, how does its density change?
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1. Intro to General Chemistry
Density
Scelta multipla
What is the density of NH_3 gas at 435 K and 1.00 atm? (Use R = 0.0821 L·atm·mol^{-1}·K^{-1} and molar mass of NH_3 = 17.0 g/mol.)
A
0.477 g/L
B
0.320 g/L
C
0.640 g/L
D
1.22 g/L
Guida verificata passo dopo passo1
Recall the ideal gas law equation: \(P V = n R T\), where \(P\) is pressure, \(V\) is volume, \(n\) is moles, \(R\) is the gas constant, and \(T\) is temperature in Kelvin.
Express the number of moles \(n\) in terms of mass \(m\) and molar mass \(M\): \(n = \frac{m}{M}\).
Rewrite the ideal gas law to solve for volume per mass (or density): starting from \(P V = n R T\), substitute \(n = \frac{m}{M}\) to get \(P V = \frac{m}{M} R T\).
Rearrange the equation to isolate density \(\rho = \frac{m}{V}\): \(\rho = \frac{P M}{R T}\).
Plug in the given values: \(P = 1.00\) atm, \(M = 17.0\) g/mol, \(R = 0.0821\) L\(\cdot\) atm\(\cdot\) mol^{-1}\(\cdot\) K^{-1}$, and $T = 435\( K into the formula \[\rho\) = $\frac{P M}{R T}\] to find the density in g/L.
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