Question

It requires 2,500 joules to raise a certain amount of water (c = 4.186 J/g C) from 20 C to 60 C

Answer 1

The mass of the water is 14.9 g

Explanation:

When a certain amount of a susbtance is heated, the temperature of the substance increases according to the equation

$Q=mC_s \Delta T$

where

Q is the amount of energy supplied to the substance

m is the mass of the substance

$C_s$ is its specific heat capacity

$\Delta T$ is the change in temperature

In this problem, we have:

Q = 2500 J of energy supplied to the water

$C_s = 4.186 J/gC$ is the specific heat capacity of water

$\Delta T=60 C - 20 C = 40^{\circ}C$ is the change in temperature of the water

Therefore we can solve for m to find the mass of the water:

$m=\frac{Q}{C_s \Delta T}=\frac{2500}{(4.186)(40)}=14.9 g$

Learn more about specific heat capacity:

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