Question

500.0 liters of gas are prepared at constant pressure and 200°C. The gas is placed into a tank and cools to 20.0°C. What is the new volume of the gas?

a) 500.0 liters
b) 523.5 liters
c) 523.1 liters
d) 550.0 liters"

Answer 1

The new volume of the gas is 50.0 liters.

Step-by-step explanation:

According to Charles's Law, the volume of a gas is directly proportional to its temperature at a constant pressure.

To calculate the new volume of the gas, we can use the formula:

V1/T1 = V2/T2

Where:

V1 is the initial volume (500.0 liters), T1 is the initial temperature (200°C), V2 is the new volume (unknown), and T2 is the new temperature (20.0°C).

Plugging in the values, we get:

V2 = (V1 * T2) / T1 = (500.0 * 20.0) / 200 = 50.0 liters

Therefore, the new volume of the gas is 50.0 liters (option d).