Asample of water is heated by 520 cal in the temperature rises by 10 k what is the mass of the water sample in grams?

52 g water

In this question we are given;

Amount of heat, Q = 520 calories

Change in temperature, K = 10 K

We are required to calculate the mass of water.

Amount of heat is calculated by multiplying mass by specific heat capacity by change in temperature.

Q = m × c × Δt

The specific heat capacity,c of water = 1 Cal/g°C or 4.184 J/g°C

Rearranging the formula;

m = Q ÷ cΔt

   = 520 Cal ÷ (1 Cal/g°C×10 K)

   = 52 g

Thus, the mass of water sample is 52 g

Answer : When converting a number from scientific notation to standard notation if the power of 10 is negative then move the decimal place to the left.

Explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

For example :

5000 is written as

889.9 is written as

In this examples, 5000 and 889.9 are written in the standard notation and  and  are written in the scientific notation.

 this is written in the scientific notation and the standard notation of this number will be, 0.00889. That means, when the power of 10 is negative then the decimal moves to the left side.

Hence, the When converting a number from scientific notation to standard notation if the power of 10 is negative then move the decimal place to the left.