Question

At constant pressure, a gas occupies a volume of 1.0 L at 298K. What volume will the gas occupy at 373K?

a
0.80 L
b
4.0 L
c
1.0 L
d
1.3 L

Answer 1

To determine the volume of a gas at a different temperature while the pressure is held constant, you can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is constant. The formula is:

\[
\frac{V_1}{T_1} = \frac{V_2}{T_2}
\]

Where:
- \( V_1 \) is the initial volume (1.0 L)
- \( T_1 \) is the initial temperature (298 K)
- \( V_2 \) is the final volume (unknown)
- \( T_2 \) is the final temperature (373 K)

Rearranging the formula to solve for \( V_2 \):

\[
V_2 = V_1 \times \frac{T_2}{T_1}
\]

Substituting in the values:

\[
V_2 = 1.0 \, \text{L} \times \frac{373 \, \text{K}}{298 \, \text{K}}
\]

Calculating the right side:

\[
V_2 = 1.0 \, \text{L} \times 1.252 = 1.252 \, \text{L}
\]

Thus, the gas will occupy approximately 1.25 L.

None of the given answer choices match this closely, but the value is closest to option **d (1.3 L)**.