(a) Calculate the energy needed to raise the temperature of 10.0 g of iron from 25°C to 500°C if specific heat capacity of iron is 0.45 J (°C)^–1 g^–1.
(b) What mass of gold of specific heat capacity 0.13 J (°C)^–1 g^–1 can be heated through the same temperature difference when supplied with the same amount of energy as in (a)?

Question

(a) Calculate the energy needed to raise the temperature of 10.0 g of iron from 25°C to 500°C if specific heat capacity of iron is 0.45 J (°C)^–1 g^–1.
(b) What mass of gold of specific heat capacity 0.13 J (°C)^–1 g^–1 can be heated through the same temperature difference when supplied with the same amount of energy as in (a)?

Shiksha Nation · Accepted Answer

Thermodynamics Calculation
    
        body {
            font-family: "Times New Roman", Times, serif;
            font-size: 16px;
            line-height: 1.8;
            color: #000000;
            margin: 30px;
        }
        .section {
            margin-bottom: 25px;
        }
        .equation-block {
            margin-left: 45px;
            margin-top: 15px;
        }
        .bold-text {
            font-weight: bold;
        }

(a) Energy needed  (q) = m &times; c &times; &Delta;T = 10.0 &times; 0.45 &times; (500 &minus; 25) J = 2137.5 J

(b)   q = m &times; c &times; &Delta;T

2137.5 = m &times; 0.13 &times; (500 &minus; 25)  or  m = 34.6 g

Verified Answer