he specific heat of gold is 0.031 cal/g°C. Fifty grams of gold will require ____ calories to raise the temperature 1°C.
3.1
6.2
1.55
50
To find the number of calories required to raise the temperature of 50 grams of gold by 1°C, you can use the specific heat formula:
Q = m * c * ΔT
Where:
Q = amount of heat energy (in calories)
m = mass of the substance (in grams)
c = specific heat capacity (in cal/g°C)
ΔT = change in temperature (in °C)
In this case, it's given that the specific heat of gold is 0.031 cal/g°C, the mass is 50 grams, and the change in temperature is 1°C.
Plugging in these values into the formula, we have:
Q = 50 g * 0.031 cal/g°C * 1°C
Q = 1.55 calories
Therefore, 50 grams of gold will require 1.55 calories to raise the temperature by 1°C. So the correct answer is 1.55.
To calculate the number of calories required to raise the temperature of 50 grams of gold by 1°C, you can use the formula:
Q = m * c * ΔT
Where:
Q = amount of heat energy (in calories)
m = mass of the substance (in grams)
c = specific heat of the substance (in cal/g°C)
ΔT = change in temperature (in °C)
Using the given values:
m = 50 grams
c = 0.031 cal/g°C
ΔT = 1°C
Substituting the values into the formula:
Q = 50 * 0.031 * 1
Q ≈ 1.55 calories
Therefore, fifty grams of gold will require approximately 1.55 calories to raise the temperature by 1°C.