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44 votes
44 votes
If 0.507J of heat leads to a 0.007 degree C change in water, what mass is present?

0.0337 g

17.3 g

0.239 g

0.300 g

User Qiang Zhang
by
2.6k points

1 Answer

20 votes
20 votes

Answer:

17.3 g

Step-by-step explanation:

Given the following data;

  • Quantity of heat, Q = 0.507 J
  • Temperature = 0.007°C
  • Specific heat capacity of water = 4.2 J/g°C

Mathematically, Heat capacity is given by the formula;


Q = MCT

Where;

  • Q represents the heat capacity or quantity of heat.
  • M represents the mass of an object.
  • C represents the specific heat capacity of water.
  • T represents the temperature.

Making "M" the subject of formula, we have;


Mass, \ m = \frac {Q}{CT}

Substituting the values into the formula, we have;


Mass, \ m = \frac {0.507}{0.007*4.2}


Mass, \ m = \frac {0.507}{0.0294}

Mass, m = 17.3 grams

User Tsatiz
by
3.0k points