The temperature of 75 mL of gas is decreased from 450 K to 150 K while the pressure is held constant. What is the new volume of the gas?

A

25 ml

B.

225 mL

C.

300 mL

D.

375 mL

A 25ml

Answer: Option A) 25mL

Explanation:

Given that,

Original volume of gas (V1) = 75mL

Original temperature of gas (T1) = 450K

New volume V2 = ?

New temperature T2 = 150K

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

V1/T1 = V2/T2

75mL/450K = V2/150K

To get the value of T2, cross multiply

75mL x 150K = 450K x V2

11250mL•K = 450K•V2

Divide both sides by 450K

11250mL•K / 450K = 450K•V2/450K

25mL = V2

Thus, the new volume of the gas is 25mL