Calculate each of the following quantities for an ideal gas. A) Calculate the vo

Question

Calculate each of the following quantities for an ideal gas.

A)

Calculate the volume of the gas, in liters, if 1.65 mol has a pressure of 1.24 atm at a temperature of -6 C.

Express the volume in liters to three significant digits.

B)

Calculate the absolute temperature of the gas at which 3.43×103 mol occupies 478 mL at 745 torr .

Express the temperature in kelvins to three significant digits.

C)

Calculate the pressure, in atmospheres, if 2.65×103 mol occupies 413 mL at 132 C.

Express the pressure in atmospheres to three significant digits.

D)

Calculate the quantity of gas, in moles, if 127 L at 50.0 C has a pressure of 11.15 kPa .

Express the amount in moles to three significant digits.

Explanation / Answer

A)

Given:

P = 1.24 atm

n = 1.65 mol

T= -6.0 oC = (-6.0+273) K = 267 K

use:

P * V = n*R*T

1.24 atm * Vi = 1.65 mol* 0.0821 atm.L/mol.K * 267.0 K

V = 29.2 L

Answer: 29.2 L

B)

Given:

P= 745.0 mm Hg = (745.0/760) atm = 0.980 atm

V= 478.0 mL = (478.0/1000) L = 0.478 L

n = 0.00343 mol

use:

P * V = n*R*T

0.980 atm * 0.478 L = 0.00343 mol* 0.0821 atm.L/mol.K * T

T = 1660K

Answer: 1.66*10^3 K

C)

Given:

V= 413.0 mL = (413.0/1000) L = 0.413 L

n = 0.00265 mol

T= 132.0 oC = (132.0+273) K = 405 K

use:

P * V = n*R*T

P * 0.413 L = 0.00265 mol* 0.0821 atm.L/mol.K * 405.0 K

P = 0.213 atm

Answer: 0.213 atm

D)

Given:

P= 11.15 kpa = 11150 Pa = (11150/101325) atm = 0.110 atm

V = 127 L

T= 50.0 oC = (50.0+273) K = 323 K

use:

P * V = n*R*T

0.110 atm * 127 L = n * 0.0821 atm.L/mol.K * 323.0 K

n = 0.527 mol

Answer: 0.527 mol

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