Specific Heat Calculator
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And the change of temperatureis 76 degrees Celsius. So looking at that, we cansee that grams will cancel out và degrees Celsius willcancel out and give us, q is equal khổng lồ 79,420 joulesor khổng lồ two significant figures, q is equal khổng lồ 7.9 times10 khổng lồ the fourth joules. So 7.9 times 10 khổng lồ thefourth joules of energy has khổng lồ be transferred khổng lồ the water to increase the temperature of the water from 22 degrees Celsiusto 98 degrees Celsius. The specific heat can varyslightly with temperature. So the temperature is oftenspecified when you're looking at a table for specific heats. For example, in the left column we have different substances, on the right column wehave their specific heats at 298 Kelvin. So we could use for our units for specific heat joulesper gram degrees Celsius, or we could use joules per gram Kelvin. For liquid water, the specificheat is 4.18 at 298 Kelvin. For aluminum, solid aluminum,the specific heat is 0.90. & for solid iron thespecific heat is 0.45 joules per gram Kelvin. Let's compare the twometals on our table here. Let's compare a solidaluminum & solid iron. So we're gonna showroom 1.0 times 10 to lớn the second joules ofenergy to both metals and see what happens in termsof change in temperature. First, let's vày thecalculation for aluminum. We're doing Q is equal lớn mC delta T & we're adding 1.0 times10 khổng lồ the second joules. And let's say we had 10grams of both of our metals. So this would be 10.0 grams of aluminum. & then we multiply that bythis specific heat of aluminum, which is 0.90. So 0.90 joules per gramKelvin times delta T. When we vị the math for this, the joules will cancel out,the grams will cancel out and we would find thatdelta T would be equal khổng lồ 11 Kelvin or 11 degrees Celsius. It doesn't really matterwhich units you're using here for the specific heat. Next let's vị the samecalculation for iron. So we're adding the same amount of heat. So 1.0 times 10 to thesecond joules of energy. So we can plug that in, 1.0 times 10 to the second joules. We're dealing with the same mass so we have 10.0 grams of iron but this time we're usingthese specific heat of iron which is 0.45 joules pergram Kelvin times delta T. So once again, joules cancelsout, grams cancels out và we get that delta Tis equal lớn 22 Kelvin, or 22 degrees Celsius. What we can learn fromdoing these two calculations is we had the same amount of heat added khổng lồ our two substances with the mass of the two substances was the same, the differencewas their specific heats. So iron has a lowerspecific heat than aluminum. And since iron has a lower specific heat, it's easier lớn change thetemperature of the iron. So the lower the valuefor the specific heat, the higher the change in the temperature, or you could also say the higher the value for the specific heat, the smaller the change in the temperature, và going back lớn our chart, water, liquid water has arelatively high specific heat which means the temperature of water is relatively resistant to lớn change.