Answer:
You will need 7.953 kJ heat energy to raise the temperature of water from 277K to 315K.
Step-by-step explanation:
To calculate how much heat is needed to raise the temperature of any substance, you need:
The mass of the substance, m, which for you is 50.0 g
The temperature change that occurs, ΔT, which for you is:
Δ
![T=(315-277)K=38K](https://img.qammunity.org/2020/formulas/physics/middle-school/bulpz7kji67wub4pwblv2gsi8iic99a8fd.png)
The specific heat capacity of the substance, c,
For water, the value of c is 4.186J/gK
Then, this is the equation you need:
ΔT
Where Q is the heat needed
So,
![Q=(50.0g)(4.186J/gK)(38K)=7953.4J=7.9534kJ](https://img.qammunity.org/2020/formulas/physics/middle-school/wh6js4vtgjqowfd43bznq2hdocfci1xnmz.png)
You need 7.953 kJ to raise the temperature of water from 277K to 315K.