A 10.0 L vessel contains gas X at a pressure of 300 torr. A 4.0L vessel contains

Question

A 10.0 L vessel contains gas X at a pressure of 300 torr. A 4.0L vessel contains gas Y at a pressure of 450 torr. The two gassesare forced into a third 3.0 L vessel which is initially empty.Calculate the resulting total pressure in the third vessel (intorr). Assume the temperature remains constant and the gases behaveideally.

StudentResponse

CorrectAnswer

1150 torr

b.

826 torr

c.

1600 torr

d.

3750 torr

e.

none of these is within 5% of the correct answer

I Already Know the Answer Please Explain Well! Thanks!

A 10.0 L vessel contains gas X at a pressure of 300 torr. A 4.0L vessel contains gas Y at a pressure of 450 torr. The two gassesare forced into a third 3.0 L vessel which is initially empty.Calculate the resulting total pressure in the third vessel (intorr). Assume the temperature remains constant and the gases behaveideally.

StudentResponse

CorrectAnswer

a.

1150 torr

b.

826 torr

c.

1600 torr

d.

3750 torr

e.

none of these is within 5% of the correct answer

I Already Know the Answer Please Explain Well! Thanks!

Explanation / Answer

    volume V1 = 10.0 L pressure P1 =300 torr volume V2 = 4.0 L pressure P2=450 torr volume V3 = 3.0L pressure P3 = ?    at constant temperature    P3=(P1V1+P2V2) / V3                                             = (10.0L*300torr + 4.0 L * 450 torr ) / 3.0                                             = 1600 torr       Total pressure inthe third vessel P3 = 1600 torr volume V2 = 4.0 L pressure P2=450 torr volume V3 = 3.0L pressure P3 = ?    at constant temperature    P3=(P1V1+P2V2) / V3                                             = (10.0L*300torr + 4.0 L * 450 torr ) / 3.0                                             = 1600 torr       Total pressure inthe third vessel P3 = 1600 torr

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