   Chapter 13, Problem 49QAP ### 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
254 views

# Given the following sets of values for three of the gas variables. calculate the unknown quantity. P = 782 . 4 mm Hg ; V = T ; n = 0. 1 0 21 mol ; T = 26 . 2  ° C   P = ?  mm Hg ; V = 27 . 5 mL ; n = 0.00 7812 mol ; T = l6 . 6  ° C P = 1 .0 45 atm ; V = 45 . 2 mL ; n = 0.00 2241 mol ;  T  = ?   ° C

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 = 782.4 mmHg  = 1.029 atm

n=0.1021 mol

T =26.2 °C = 273.15 +26.2 = 299.35 K

Volume can be calculated using the following formula:

PV = n R T....... (1)

Putting the values,

1.029 atm × V (L) = 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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