   Chapter 13, Problem 50QAP ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
5 views

# Given each of the following sets of values for an ideal gas, calculate the unknown quantity. P = 782 mm Hg ; V = ? ; n = 0. 21 0  mol ; T = 27 ° C   P = ?  mm Hg ; V = 644 mL ; n = 0.0 92l mol ; T = 3 0 3 K P = 745 mm Hg ; V = 11 . 2 L ; n = 0. 4 0 1 mol ; T = ? K

Interpretation Introduction

(a)

Interpretation:

The missing variable of gas should be calculated with the help of given values

Concept Introduction:

The ideal gas law was purposed to explain all the properties of any ideal gas. The expression for ideal gas law can be shown as:

PV = n R T

Here:

• P = pressure of gas.
• V = volume of gas.
• n = number of moles of gas.
• R = gas constant = 0.0821 L atm / K mol.
• T = Temperature.
Explanation

The pressure, number of moles and temperature values are given as follows:

P = 782 mmHg = 1.02895 atm

n=0.210 mole

T =27 °C = 273.15 +27 =300.15 K

Volume can be calculated as follows:

PV = n R T....... (1)

Putting the values in equation (1)

1.02895 atm × V (L) = 0.210 moles × 0

Interpretation Introduction

(b)

Interpretation:

The missing variable of gas should be calculated with the help of given values

Concept Introduction:

The ideal gas law was purposed to explain all the properties of any ideal gas. The expression for ideal gas law can be shown as:

PV = n R T

Here:

• P = pressure of gas.
• V = volume of gas.
• n = number of moles of gas.
• R = gas constant = 0.0821 L atm / K mol.
• T = Temperature.
Interpretation Introduction

(c)

Interpretation:

The missing variable of gas should be calculated with the help of given values

Concept Introduction:

The ideal gas law was purposed to explain all the properties of any ideal gas. The expression for ideal gas law can be shown as:

PV = n R T

Here:

• P = pressure of gas.
• V = volume of gas.
• n = number of moles of gas.
• R = gas constant = 0.0821 L atm / K mol.
• T = Temperature.

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