Problem 85P

An unknown metal with a mass of 28 g absorbs 58 J of heat. Its temperature rises from 31.1 °C to 39.9 °C. Calculate the heat capacity of the metal and identify it referring to Table

Table Specific Heat Capacities of Some Common Substances

Substance |
Specific Heat Capacity (J/g°C) |

Lead |
0.128 |

Gold |
0.128 |

Silver |
0.235 |

Copper |
0.385 |

Iron |
0.449 |

Aluminum |
0.903 |

Ethanol |
2.42 |

Water |
4.184 |

Solution 85P

The mass of the unknown metal is 28g, which absorbed 58J of heat.

The temperature rises from 31.1°C to 39.9 °C.

We have to calculate heat capacity of the metal.

The heat capacity can be calculated as S or C or Cs =

Here q = 58J, m = 28g and T = T2-T1 = 39.9- 31.1= 8.8°C

Now the above equation becomes S =

= = 0.235 j/g oC

Thus the heat capacity of the unknown metal is 0.235j/g oC, this value is found to be similar with the heat capacity of silver.