At constant temperature, 534 ml of a gas at 894 torr is compressed to 167 ml what is the new pressure in atmospheres?

3.762 atm.

Explanation:

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R  is the general gas constant,

T is the temperature of the gas in K.

(P₁V₁) = (P₂V₂)

P₁ = 894.0 torr, V₁ = 534.0 mL,

P₂ = ??? torr, V₂ = 167.0 mL.

(P₁V₁) = (P₂V₂)

∴ P₂ = (P₁V₁)/V₂ = (894.0 torr)(534.0 mL)/(167.0 mL) = 2859 torr.

1.0 atm = 760.0 torr.

∴ P₂ = (2859 torr)(1.0 atm/760 torr) = 3.762 atm.

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