A gas has a volume of 1.94 L at −17◦C and

190 kPa. At what temperature would the gas

occupy 1.03 L at 222 kPa?

The new temperature will be 158.8 K

Explanation:

Step 1: Data given

Volume of the gas = 1.94 L

The temperature = -17°C = 256 K

Pressure = 190 kPa

The volume reduces to 1.03 L

The pressure increases to 222 kPa

Step 2: Calculate the temperature =

(P1*V1)/T1 = (P2*V2)/T2

⇒with P1 = the initial pressure = 190 kPa

⇒with V1 = the initial volume = 1.94 L

⇒with T1 = -17°C = 256 K

⇒with P2 = the increased pressure = 222 kPa

⇒with V2 = the reduced volume = 1.03 L

⇒with T2 = the new volume

(190 kPa* 1.94 L) / 256 K = (222 kPa *1.03 L) T2

1.439844 = (222 * 1.03 )/T2

1.439844 = 228.66 / T2

T2 = 228.66 / 1.439844

T2 = 158.8 K

The new temperature will be 158.8 K

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