A sample of nitrogen occupies a volume of 225 mL at 70 oC and 550 mmHg of pressure. What will its volume be at STP

141.53 mL

Explanation:

Using P1V1/T2 = P2V2/T2

Where;

P1 = initial pressure

P2 = pressure at STP

T1 = initial temperature

T2 = temperature at STP

V1 = initial volume

V2 = volume at STP

According to this question;

V1 = 225mL, T1 = 70°C + 273 = 343K

P1 = 550mmHg/760mmHg = 0.724atm

At Standard temperature and pressure (STP);

P2 = 1atm

T2 = 25°C + 273 = 298K

V2 = ?

Hence;

P1V1/T2 = P2V2/T2

0.724 × 225/343 = 1 × V2/298

298 × 0.724 × 225 = 343 × 1 × V2

48544.2 = 343V2

V2 = 48544.2/343

V2 = 141.528mL

Hence, the volume at STP is 141.53mL

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