Calculation of the quantity of heat required to raise 2kg of copper

Given:
Mass of copper (m) = 2 kg
Initial temperature (T1) = 303 K
Final temperature (T2) = 353 K
Specific heat capacity of copper (c) = 355 J/kg/K

The quantity of heat required to raise the temperature of a substance can be calculated using the formula:

Q = mcΔT

Where:
Q = Quantity of heat (in Joules)
m = Mass of the substance (in kg)
c = Specific heat capacity of the substance (in J/kg/K)
ΔT = Change in temperature (in K)

Step 1: Calculate the change in temperature
ΔT = T2 - T1
ΔT = 353 K - 303 K
ΔT = 50 K

Step 2: Calculate the quantity of heat
Q = mcΔT
Q = 2 kg * 355 J/kg/K * 50 K
Q = 35500 J

Therefore, the quantity of heat required to raise 2 kg of copper from 303 K to 353 K is 35500 Joules.

Explanation:
The specific heat capacity of a substance represents the amount of heat energy required to raise the temperature of 1 kg of the substance by 1 Kelvin. In this case, the specific heat capacity of copper is given as 355 J/kg/K. This means that it takes 355 Joules of heat energy to raise the temperature of 1 kg of copper by 1 Kelvin.

To calculate the quantity of heat required to raise the temperature of a substance, we use the formula Q = mcΔT, where Q is the quantity of heat, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

In this question, we are given the mass of copper as 2 kg and the initial and final temperatures as 303 K and 353 K, respectively. By substituting these values into the formula, we can calculate the quantity of heat required.

By multiplying the mass, specific heat capacity, and change in temperature, we get the quantity of heat as 35500 Joules. Therefore, option B (38500) is the correct answer.