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At 189 K, a sample of gas has a volume of 32.0 cm3
. What volume does the gas
occupy at 242 K

Sagot :

MathPhysidn

Answer:

41.0 cm³

Explanation:

From the ideal gas law, we can show that at constant pressure, the volume of a gas is directly proportional to the temperature. This principle is also known as Charles's law.

The ideal gas law states:

PV = nRT

where

  • P is absolute pressure
  • V is volume
  • n is number of moles
  • R is the universal gas constant
  • T is absolute temperature

If the pressure P and number of moles n are constant, then the volume is directly proportional to the temperature:

V/T = nR/P = constant

V₁ / T₁ = V₂ / T₂

This is known as Charles's law. Plugging in values:

(32.0 cm³) / (189 K) = V / (242 K)

V = 41.0 cm³

Rounded to three significant figures, the volume of the gas is 41.0 cm³.

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