A 475mL sample of gas was collected at a temperature of -21.5 and a pressure of 756mmHg. Calculate the volume of a gas(in liters) if the conditions were altered to STP

Respuesta :

The volume of gas under STP is 0.512 liters.

Explanation:

At STP (Standaed Temperature and Pressure)

T =  0°C

P = 1 atm = 760 mmHg

Given

P1 = 756 mmHg

T1 = -21.5°C = -21.5 + 273 = 251.5 K

V1 = 475 mL = 0.475 L

P2 = 760 mmHg

T1 = 0°C = 0 + 273 = 273 K

We know that

[tex]\frac{P1 \times V1}{T1} = \frac{P2 \times V2 }{T2}\\\\\frac{756 \times 0.475}{251.5} = \frac{760 \times V2}{273}\\[/tex]

[tex]V2 = \frac{273 \times 756 \times 0.475}{251.5 \times 760} \\V2 = \frac{98034.3}{191140}[/tex]

V2 = 0.512 L