Question

If a sample of gas occupies 13L of volume at a temperature of 75 K what will be its new temperature if it is expanded to 26 L at constant pressure.

Answer 1

150 K

Step-by-step explanation:

You can use Charles’s Law to solve this problem. Charles’s Law states that the volume of a gas is directly proportional to its temperature in kelvins when pressure is held constant.

Let V1 and T1 be the initial volume and temperature of the gas, and let V2 and T2 be the final volume and temperature of the gas. According to Charles’s Law, we have:

V1 / T1 = V2 / T2

Substituting in the given values for V1 (13 L), V2 (26 L), and T1 (75 K), we get:

13 / 75 = 26 / T2

Solving for T2, we get:

T2 = (26 * 75) / 13

So, T2 = 150 K.

The new temperature of the gas will be 150 K.