PROBLEM 49P

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

V1 |
n1 |
V2 |
n2 |

38.5 mL |
1.55 × 10−3 mol |
49.4 mL |
______ |

______ |
1.37 mol |
26.8 L |
4.57 mol |

11.2 L |
0.628 mol |
______ |
0.881 mol |

422 mL |
______ |
671 mL |
0.0174 mol |

Solution 49P

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)