Math Problem Statement

A chemist fills a 10.0 L container with a gas. The temperature of the gas is 25.0°C and the pressure is 2.5 atm. a. What is the amount of the gas? b. What is the mass of the gas? Assume the molar mass of the gas is 40.0 g/mol. c. Suppose n = 0.22 mol. If instead the volume of the container is halved, find the new pressure and include appropriate units.

Solution

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Problem 2: The Ideal Gas Law problem A chemist fills a 10.0 L container with a gas. The temperature of the gas is 25.0C25.0^\circ C and the pressure is 2.5 atm.

a. What is the amount of the gas? b. What is the mass of the gas? Assume the molar mass of the gas is 40.0 g/mol. c. Suppose n=0.22n = 0.22 mol. If instead the volume of the container is halved, find the new pressure and include appropriate units.

Let's break down and solve each part.

Part a: What is the amount of the gas?

We can use the Ideal Gas Law equation to find the amount of the gas: PV=nRTPV = nRT Where:

  • PP is the pressure (2.5 atm),
  • VV is the volume (10.0 L),
  • ( n

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Math Problem Analysis

Mathematical Concepts

Ideal Gas Law
Moles
Pressure
Volume
Temperature

Formulas

PV = nRT

Theorems

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Suitable Grade Level

High School