What is the final volume if 3.4 L of nitrogen gas at 400 K is cooled to 200 K and kept at

the same pressure?

Answer: 1.7L

Explanation:

Original volume of nitrogen gas (V1) = 3.4L

Original temperature of nitrogen gas (T1) = 400K

New volume of nitrogen gas (V2) = ?

New temperature of nitrogen gas (T2) = 200K

Since volume and temperature are given while pressure is held constant, apply the formula for Charle's law

V1/T1 = V2/T2

3.4L/400K = V2/200K

To get the value of V2, cross multiply

3.4L x 200K = 400K x V2

680L•K = 400K•V2

Divide both sides by 400K

680L•K / 400K = 400K•V2/400K

1.7L = V2

Thus, the final volume of the nitrogen gas is 1.7 liters