If an amount of heat q is applied to an object and its temperature changes by ÄT, the amount of heat that must be applied to change the temperature by 10ÄT is
Would you believe 10q.
To find the amount of heat required to change the temperature by 10ÄT, we need to understand the concept of heat capacity or specific heat. Heat capacity is the amount of heat energy required to increase the temperature of an object by a certain amount.
The formula for heat capacity is:
Heat capacity = q / ÄT
where:
q = amount of heat energy
ÄT = change in temperature
The heat capacity can be thought of as the amount of heat energy required to raise the temperature of 1 unit mass of a substance by 1 degree Celsius or 1 Kelvin.
Given that the amount of heat applied to an object to change its temperature by ÄT is q, we can say that the heat capacity of the object is q / ÄT.
If we want to change the temperature by 10ÄT, we can use the formula for heat capacity to calculate the required amount of heat:
Heat required = Heat capacity * (change in temperature) = (q / ÄT) * (10ÄT)
Therefore, the amount of heat that must be applied to change the temperature by 10ÄT is (q / ÄT) * (10ÄT).