125k views
1 vote
How much energy must be added to a 1 kg piece of gold with a specific heat of 130 j/kg to increase its temperature from 20 c to 100c?

User Qqryq
by
5.9k points

2 Answers

3 votes

Answer: 48,000 J

Step-by-step explanation:

Hope it helps

User Douglas Gandini
by
5.4k points
1 vote


Q = 10.4 \; \text{kJ}

The specific heat of a material gives the energy it takes to increase the temperature of one unit mass of the material by one unit temperature. The SI unit for specific heat
c is therefore
\text{J} /\text{kg} \cdot \textdegree{\text{C}}.

The formula relating the energy required to raise the temperature of
m grams of a substance with specific energy
c by
\Delta T degrees is


Q= c \cdot m \cdot \Delta T

The question provides the following information:


  • c = 130\; \text{J} /\text{kg} \cdot \textdegree{\text{C}} for gold

  • m= 1 \; \text{kg}

  • \Delta T = 100 \textdegree{\text{C}} - 20 \textdegree{\text{C}} = 80 \textdegree{\text{C}}

Apply the formula:


image


User Ecuador
by
6.6k points