You are watching: What is the molar heat capacity of liquid water

What is the certain heat? The **specific heat** of a liquid is the amount of heat that need to be added to 1 gram of a liquid in order to raise its temperature one level (either Celsius or Kelvin). The better the warm capacity, the even more warmth is required in order to raise the temperature.

The **warmth capacity** is more general than either of the terms above. It represents the amount of heat required to raise the temperature of a offered amount of the substance by one degree.

The specific heat of water is 4.18 J/g-K. It is essential to note the units: Joules are for energy or warmth. The Kelvin is for the level rise in warm. Finally, g is for the declared amount of the substance.

Remember, the molar heat capacity of a substance is the warm capacity of 1 mol of a substance. This indicates that in the devices you need to include mol instead of grams.

Instead of grams, you should convert right into mol. This requires usage of the molar warmth capacity formula. That implies you need the particular warm of water and the molar mass of water. The molar mass of water is 18.0 g/mol.

In basic, in order to discover the molar warm capacity of a compound or facet, you sindicate multiply the particular warmth by the molar mass.

For instance, the specific warm of methane (CH4) is 2.20 J/g-K. To transform to molar heat capacity you can manipulate the molar warmth capacity formula: Multiply the specific warm by the molar mass of methane. The molar mass of methane is 16.04 J/g-K.

In order to calculate just how a lot warm is necessary to raise the temperature of a offered amount of a substance by a offered variety of degrees you deserve to use the following equation:

Here, q is the warmth, n is the number of mol, C is the molar warm capacity, and also ΔT is the change in temperature.

**For example:** How a lot warmth is needed to boost the temperature of 5 mol of mercury (Hg) by 10 K? The certain heat of mercury is 27.8 J/mol-K.

You deserve to also manipulate this equation to find the number of mols of a substance if you understand exactly how much warmth was soaked up.

**For example:** You recognize that a sample of calcium carbonate (CaCO3) has actually been elevated by 5 K, the power absorbed was 550 J, and also the molar warmth capacity is 82 J/mol-K.

This indicates that you can rearvariety the original equation so that instead of fixing for q, which you already recognize, you deserve to resolve for n.

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This equation allows you to recognize any type of of the four amounts, given that you have actually the other three!

Riti Gupta holds a Honors Bachelors level in Biochemisattempt from the College of Oregon and also a PhD in biology from Johns Hopkins University. She has an interest in astrobiology and also manned spaceflight. She has over 10 years of biology study endure in academia. She currently teaches classes in biochemistry, biology, biophysics, astrobiology, and high institution AP Biology and Chemisattempt test prep.