PROBLEM 66P

Use the ideal gas law to complete the table.

P |
V |
n |
T |

2.39 atm |
1.21 L |
______ |
205 K |

512 torr |
______ |
0.741 mol |
298 K |

0.433 atm |
0.192 L |
0.0131 mol |
______ |

______ |
20.2 mL |
5.71 × 10−3 mol |
20.4 °C |

Solution: Here, we are going to complete the given table.

Step1:

Boyle’s law, Charles’s law and Avogadro's law can be combined together to form a single equation which is known as ideal gas equation.

At constant T and n; V ∝ 1 / p Boyle’s law

At constant p and n; V ∝ T Charles’ law

At constant p and T; V ∝ n Avogadro’s law

Thus,

V ∝ nT / p

V = R

Where R is the proportionality constant called Universal gas constant. On rearranging the above equation we get,

pV = nRT ----(1)

Equation (1) is called ideal gas equation.

Step2:

The value of R is 8.20578 x 10-2 L atm K-1 mol-1

Using this value, let us complete the given table.

P | V | n | T |

2.39 atm | 1.21 L | 0.1719 mol | 205 K |

512 torr | 26.88 L | 0.741 mol | 298 K |

0.433 atm | 0.192 L | 0.0131 mol | 77.3 K |

6.877 atm | 20.2 mL | 5.71 × 10−3 mol | 20.4 °C |