PROBLEM 50P

Use Avogadro's law to complete the table (assume pressure and temperature to be constant).

V1 |
n1 |
V2 |
n2 |

25.2 L |
5.05 mol |
______ |
3.03 mol |

______ |
1.10 mol |
414 mL |
0.913 mol |

8.63 L |
0.0018 mol |
10.9 L |
______ |

53 mL |
______ |
13 mL |
2.61 × 10−4 mol |

Solution 50P

Here, we are going to complete the given table.

Step 1:

Avogadro's law states that equal volumes(V) of all gases under the same conditions of temperature and pressure contain equal number of molecules.

Mathematically, we can write

V n, where n is the number of moles of the gas.

V = kn, k being a constant.

Now, if V1, n1 are the volume and number of moles of the gas initially and V2, n2 are the volume and number of moles of the gas finally, then,

V1 = kn1

V2 = kn2

Combining the two equations, we get, V1 / n1 = V2 / n2 -----(1)