A sample of gas has a volume of 215 cm3 at 23.5 °c and 84.6 kpa. what volume (cm3 will the gas occupy at stp

The answer is 165.3 cm³.

P1 * V1 / T1 = P2 * V2 / T2

The initial sample:

P1 = 84.6 kPa

V1 = 215 cm³

T1 = 23.5°C = 23.5 + 273 K = 296.5 K

At STP:

P2 = 101.3 kPa

V2 = ?

T2 = 273 K

Therefore:

84.6 * 215 / 296.5 = 101.3 * V2 / 273

61.34 = 101.3 * V2 / 273

V2 = 61.34 * 273 / 101.3

V2 = 165.3 cm³