A piece of glass has a temperature of 87.0 °C. Liquid that has a temperature of 32.0 °C is poured over the glass, completely covering it, and the temperature at equilibrium is 57.0 °C. The mass of the glass and the liquid is the same. Ignoring the container that holds the glass and liquid and assuming that the heat lost to or gained from the surroundings is negligible, determine the specific heat capacity of the liquid.
I know that I need to use the equation of Q=CmdeltaT but I'm totally confused.
To determine the specific heat capacity of the liquid, you can use the equation Q = mcΔT, where Q represents the heat transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
In this scenario, the heat absorbed by the liquid (Q1) equals the heat lost by the glass (Q2). Since the container that holds the glass and liquid is ignored, the heat transferred to or from the surroundings is considered negligible. Therefore, the heat lost by the glass is equal to the heat gained by the liquid.
Assuming that the specific heat capacity of the glass is known and equal to cg, you can set up two equations based on the conservation of heat:
Q1 = Q2 (1)
mliquid * cliquid * (Tf - Ti) = mglass * cglass * (Tg - Tf) (2)
Given the following information:
Tf (final temperature) = 57.0 °C
Ti (initial temperature of the liquid) = 32.0 °C
Tg (initial temperature of the glass) = 87.0 °C
The mass of the glass = the mass of the liquid
Substituting the known values into equation (2):
m * cliquid * (57.0 - 32.0) = m * cglass * (87.0 - 57.0)
Since the mass of the glass (mglass) is the same as the mass of the liquid (m), it cancels out. Simplifying the equation:
cliquid * (25.0) = cglass * (30.0)
Now, we have an equation relating the specific heat capacity of the liquid (cliquid) to the specific heat capacity of the glass (cglass). To find the value of cliquid, we need to know the specific heat capacity of the glass (cglass). If the value is given or can be calculated, you can substitute it into the equation to find the specific heat capacity of the liquid (cliquid).
However, if the specific heat capacity of the glass is not provided, you will need additional information to solve for the specific heat capacity of the liquid.