Question

A 3.8L sample of gas at 1.0 atm and 20 degrees Celsius is heated to 85 degrees Celsius. Calculate the gas volume in liters at the higher temperature if the pressure remains constant at 1.0 atm.

a) 3.8 L
b) 3.6 L
c) 4.0 L
d) 4.2 L

Answer 1

The gas volume at the higher temperature is approximately 4.63 L.

Step-by-step explanation:

To calculate the gas volume at the higher temperature, we can use the ideal gas law equation:

V1 / T1 = V2 / T2

Where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume (which we're trying to find), and T2 is the final temperature.

Plugging in the values:

3.8 L / 293 K = V2 / 358 K

Solving for V2:

V2 = 3.8 L * 358 K / 293 K = 4.63 L

Therefore, the gas volume at the higher temperature is approximately 4.63 L.