A certain mass of water gains 1,673 J of thermal energy when it's temperature increases by 2.0 degrees Celsius. What is the mass of the water?
q = 1673 J = mass H2O x specific heat H2O x delta T. You will need to look up the specific heat of liquid water. Delta T is 2.0 C and mass will come out i grams if specific heat is substituted in joules/g*C.
To find the mass of water, we can use the formula:
Q = mcΔT
Where:
Q is the thermal energy gained by the water (in Joules)
m is the mass of the water (in kilograms)
c is the specific heat capacity of water (approximately 4186 J/kg°C)
ΔT is the change in temperature (in degrees Celsius)
We are given that Q = 1673 J and ΔT = 2.0 degrees Celsius. So we can rearrange the formula to solve for mass (m):
m = Q / (cΔT)
Substituting the given values:
m = 1673 J / (4186 J/kg°C × 2.0 °C)
Simplifying, we find the mass of the water.