(a) What are the units of molar heat capacity? (b) What are the units of specific heat? (c) If you know the specific heat of copper, what additional information do you need to calculate the heat capacity of a particular piece of copper pipe?

Molar heat capacity is defined as the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius or Kelvin. The formula for molar heat capacity (C) is: C = q / (n * ΔT) Where: - C is the molar heat capacity - q is the heat absorbed or released by the substance - n is the number of moles of the substance - ΔT is the change in temperature (in Celsius or Kelvin) From the formula, we can determine the units of molar heat capacity. The unit of heat (q) is Joules (J), the unit of the number of moles (n) is moles (mol), and the unit of temperature change (ΔT) is either Celsius (°C) or Kelvin (K). To get the units for C, we divide the units of heat by the product of the units of the number of moles and the change in temperature: Units of C = (units of q) / (units of n * units of ΔT) = J / (mol * K) So, the units of molar heat capacity are Joules per mole per Kelvin (J/mol K).

Specific heat is defined as the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius or Kelvin. The formula for specific heat (c) is: c = q / (m * ΔT) Where: - c is the specific heat - q is the heat absorbed or released by the substance - m is the mass of the substance (in grams) - ΔT is the change in temperature (in Celsius or Kelvin) To get the units for specific heat, we divide the units of heat by the product of the units of mass and the change in temperature: Units of c = (units of q) / (units of m * units of ΔT) = J / (g * K) So, the units of specific heat are Joules per gram per Kelvin (J/g K).

In order to calculate the heat capacity of a particular piece of copper pipe, we need to know both its mass and the specific heat of copper. The specific heat of copper is given in the problem. The formula to calculate the heat capacity (Q) is: Q = m * c * ΔT Where: - Q is the heat capacity - m is the mass of the copper pipe (in grams)