Web Analytics

Every substance has a specific value of heat required to change the temperature of 1 gram of the substance by 1 degree Celsius. Specific heat is found by using the equation Q=mcΔt, where Q represents heat in joules, m represents mass in grams, Δt is the change in temperature in Celsius, and c is the coefficient constant for a substance. Find the units for the coefficient c.

A)

c=J·g·°C


B)

c=J·g/°C


C)

c=J/g·°C


D)

c=g·°C/J

Verified Answer :

I believe the correct answer from the choices listed above is option C. The units for the specific heat capacity or C would be J/g °C. It is the heat required to raise the temperature of the unit mass of a given substance by a given amount .

The correct answer to the question is : C) \(J/g.^0C\)

EXPLANATION:

The amount of heat required to raise the temperature of one gram of substance through one degree celsius is known as the specific heat capacity.

The equation given is Q = mcΔt

Here, Q is the heat given to the substance.

          m is the mass of the substance.

           c is the specific heat capacity.

          Δt is the change in temperature.

We are asked to calculate the unit of c.

The unit of c is calculated as -

                                             c = \(\frac{Q}{m\Delta t}\)

                                                = \(\frac{joule}{g.^0 C}\)

                                                = \(J/g.^0C\)

Hence, the unit of c is \(J/g.^0C\)