The amount of heat required to increase the temperature of a substance can be calculated using the formula:
Q = m * c * ΔT
where:
Q is the amount of heat required
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (in J/g°C)
ΔT is the change in temperature (in °C)
For water, the specific heat capacity is 4.184 J/g°C.
Plugging in the values, we get:
Q = 200 * 4.184 * (90 - 10)
Q = 200 * 4.184 * 80
Q = 67,072 Joules
Therefore, the amount of heat required to increase the temperature of 200 gm of water from 10°C to 90°C is 67,072 Joules.