One mole of an ideal gas is held at a constant volume of 1 litre. Find the change in pressure if the temperature increases by 50 $\degree$C.
A)3 atm
B)4 atm
C)2 atm
D)1 atm
E)5 atm

Question

Quizplus · Accepted Answer

The change in pressure of an ideal gas at constant volume is given by the formula:$$\Delta P = nR\Delta T/V$$where:* $\Delta P$ is the change in pressure* $n$ is the number of moles of gas* $R$ is the ideal gas constant* $\Delta T$ is the change in temperature* $V$ is the volume of the gasIn this problem, we are given that:* $n = 1$ mole* $R = 0.0821 \text{ L atm} / (\text{mol K})$* $\Delta T = 50 \degree \text{C} = 50 \text{ K}$* $V = 1 \text{ L}$Substituting these values into the formula, we get:$$\Delta P = (1 \text{ mol})(0.0821 \text{ L atm} / (\text{mol K}))(50 \text{ K})/(1 \text{ L}) = 4.105 \text{ atm}$$Therefore, the change in pressure is 4.105 atm, which is closest to choice B) 4 atm.

One Mole of an Ideal Gas Is Held at a Constant