Question

A gas occupies a volume of 140 mL at 35.0°C and 97 kPa. What is the volume of the gas at 0°C and 101 kPa?

a. 123 mL.
b. 132 mL.
c. 150 mL.
d. 162 mL.

Answer 1

To calculate the volume of a gas at a new set of conditions, we use the Combined Gas Law. By rearranging the formula and inserting the given values, we find that the volume of the gas at 0°C and 101 kPa is approximately 123 mL.

Step-by-step explanation:

To find the volume of a gas at different conditions, we can use the Combined Gas Law, which combines Charles's Law, Boyle's Law, and Gay-Lussac's Law. The formula is (P1 x V1) / T1 = (P2 x V2) / T2, where P is pressure, V is volume, and T is temperature in Kelvin.

Given values are P1 = 97 kPa, V1 = 140 mL, T1 = 308.15 K (35.0°C + 273.15), P2 = 101 kPa, and T2 = 273.15 K (0°C). We can rearrange the equation to solve for V2: V2 = (P1 x V1 x T2) / (P2 x T1).

Inserting the known values, we get: V2 = (97 kPa x 140 mL x 273.15 K) / (101 kPa x 308.15 K). This simplifies to V2 = (13383420) / (31123515) = approximately 123.06 mL, which we can round to 123 mL.

This means the correct answer is a. 123 mL.