Gas Volume and Temperature Relationship

How does the volume of a gas sample change with temperature when pressure is constant?

A. Increases

B. Decreases

C. Remains constant

D. Unpredictable

Final answer:

According to Charles's Law, the volume of a gas is directly proportional to its temperature when pressure is constant. In this case, the final volume will be 4.34 L.

Explanation:

According to Charles's law, when the pressure of a gas remains constant, its volume is directly proportional to its temperature. To solve this problem, we can use the formula V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature. Given that V1 = 4.00 L, T1 = 15.0 °C, P1 = 475 torr, P2 = 700 torr, and T2 = 40.0 °C, we can calculate V2 as follows:

1. Convert the initial and final temperatures to Kelvin by adding 273.15: T1 = 15.0 + 273.15 = 288.15 K and T2 = 40.0 + 273.15 = 313.15 K.
2. Plug in the values into the formula: V1/T1 = V2/T2
3. Solve for V2: V2 = (V1 x T2) / T1 = (4.00 L x 313.15 K) / 288.15 K = 4.34 L (rounded to two decimal places).

Therefore, the volume that the gas will occupy when the temperature is increased to 40.0 °C and the pressure is increased to 700 torr is 4.34 L.