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Calculate: A. Mercury has a specific Heat Capacity of 0.14 J/goC. How much heat is needed to raise the thermometer temperature 15 oC to 95 oC. There is 5 g of mercury in the thermometer.

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Sarah06109idn

Answer:

[tex]\boxed {\boxed {\sf 56 \ Joules}}[/tex]

Explanation:

We are given the mass, specific heat, and temperature, so we must use this formula for heat energy.

[tex]q=mc \Delta T[/tex]

The mass is 5 grams, the specific heat capacity is 0.14 Joules per gram degree Celsius. Let's find the change in temperature.

  • ΔT= final temperature - initial temperature
  • ΔT= 95°C - 15°C = 80°C

We know the variables and can substitute them into the formula.

[tex]m= 5 \ g \\c= 0.14 \ J/ g \ \textdegree C \\\Delta T= 80 \ \textdegree C[/tex]

[tex]q= (5 \ g )( 0.14 \ J/ g \ \textdegree C ) ( 80 \ \textdegree C)[/tex]

Multiply the first numbers. The grams will cancel.

[tex]q= 0.7 \ J/ \textdegree C(80 \ \textdegree C )[/tex]

Multiply again. This time the degrees Celsius cancel.

[tex]q= 56 \ J[/tex]

56 Joules of heat are needed.

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