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A 5. 00 l sample of a gas exerts a pressure of 1040 torr at 50. 0°c. In what volume would the same sample exert a pressure of 1. 00 atm at 50. 0°c? report your answer in liters to two decimal places.

Sagot :

By ideal gas approximation, the final volume is 6.84 liters.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

V1 = 5 L

P1 = 1040 torr = 1040 / 760 atm

P2 = 1 atm

When the initial and final temperature is the same, we can use the ratio of pressure and volume as

P1 . V1 = P2 . V2

(1040 / 760) . 5 = 1 . V2

V2 = 6.84 liters

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