430,398 views
23 votes
23 votes
A sample of gas occupies 806 ml at 26.0ºC and 998 mmHg. Find the volume of the gas at STP.

User Michael Kniskern
by
2.9k points

1 Answer

18 votes
18 votes

Answer:

966.4mL

Step-by-step explanation:

Using the combined gas equation as follows:

P1V1/T1 = P2V2/T2

Where;

P1 = initial pressure

P2 = final pressure

V1 = initial volume

V2 = final volume

T1 = initial temperature (K)

T2 = final temperature (K)

According to this question, the following information were provided:

P1 = 998mmHg

P2 (STP) = 760mmHg

V1 = 806mL

V2 = ?

T1 = 26°C = 26 + 273 = 299K

T2 (STP) = 273K

P1V1/T1 = P2V2/T2

998 × 806/299 = 760 × V2/273

804388/299 = 760V2/273

2690.26 = 760V2/273

760V2 = 2690.26 × 273

760V2 = 734440.98

V2 = 734440.98 ÷ 760

V2 = 966.4mL

User Daniel Dramond
by
3.8k points