Question

How many grams of water when supplied with 413 J of heat will gain a temperature of 5.2°C?____

a. 16
b. 19
c. 17
d. 18
e. none of the above

Answer 1

Using the heat formula (q = mcΔT), we find that 19 grams of water will gain a temperature of 5.2°C when supplied with 413 J of heat. So, the correct option is E.

Step-by-step explanation:

To calculate the mass of water that will gain a temperature of 5.2°C when supplied with 413 J of heat, we use the formula:

q = mcΔT

Where:

1. q is the heat supplied, in joules
2. m is the mass of the water, in grams
3. c is the specific heat capacity of water (4.186 J/g°C)
4. ΔT is the change in temperature, in °C

Rewriting the formula to solve for mass (m):

m = q / (cΔT)

Substituting the given values:

m = 413 J / (4.186 J/g°C * 5.2°C)

Calculating the mass:

m ≈ 19 g

Therefore, 19 grams of water will gain a temperature of 5.2°C when supplied with 413 J of heat.