Question

Which of the following substances (with specific heat capacity provided) would show the greatest temperature change upon absorbing 100.0J of heat?a. 10.0 g Fe, C Fe=0.449J/g°Cb. 10.0 g ethanol, C ethanol =2.42J/g°Cc. 10.0 g H2O, CH2O = 4.18J/g°Cd. 10.0 g Ag, C Ag =0.235J/g°Ce. 10.0 g Pb C Pb = 0.128J/g°C

Answer 1

Answer:

Pb is the substance that experiments the greatest temperature change.

Explanation:

The specific heat capacity refers to the amount of heat energy required to raise in 1 degree the temperature of 1 gram of substance. The highest the heat capacity, the more energy it would be required. These variables are related through the equation:

Q = c . m . ΔT

where,

Q is the amount of heat energy provided (J)

c is the specific heat capacity (J/g.°C)

m is the mass of the substance

ΔT is the change in temperature

Since the question is about the change in temperature, we can rearrange the equation like this:

$\Delta T = \frac{Q}{c.m}$

All the substances in the options have the same mass (m=10.0g) and absorb the same amount of heat (Q=100.0J), so the change in temperature depends only on the specific heat capacity. We can see in the last equation that they are inversely proportional; the lower c, the greater ΔT. Since we are looking for the greatest temperature change, It must be the one with the lowest c, namely, Pb with c = 0.128 J/g°C. This makes sense because Pb is a metal and therefore a good conductor of heat.

Its change in temperature is:

$\Delta T = \frac{q}{c.m} = \frac{100.0 J}{0.128 J/g.C . 10.0g } = 78.1$

Answer 2

Pb would show the greatest temperature change upon absorbing 100.0 J of heat , which is : 78.125  ° C

Further explanation

The law of conservation of energy can be applied to heat changes, i.e. the heat received / absorbed is the same as the heat released

Q in = Q out

Heat can be calculated using the formula:

Q = mc∆T

Q = heat, J

m = mass, g

c = specific heat, joules / g ° C

∆T = temperature difference, ° C / K

$\rm \Delta T=\dfrac{Q}{m.c}$

Because temperature change is inversely proportional to the value of c (heat capacity) and because the mass of an element / compound is equal = 10 g,and the heat absorbed also the same, then the greatest temperature change upon absorbing 100.0J of heat is the one with the smallest heat capacity (c), namely: Pb with C Pb = 0.128J / g ° C

$\rm \Delta T=\dfrac{100}{10\times 0.128}\\\\\Delta T=78.125\:C$

Learn more  

the difference between temperature and heat  

brainly.com/question/3821712  

Specific heat  

brainly.com/question/9525136  

relationships among temperature, heat, and thermal energy.  

brainly.com/question/224374  

When heat is added to a substance  

brainly.com/question/3417580