# 1 L of water at 20degrees Celsius will occupy what volume at 80 degrees Celsius? Water has a volume expansion coefficient of 210x10^-6/degree Celsius.Multiple Choice: A) 1.6 L B) 1.013 L C) 0.987...

1 L of water at 20degrees Celsius will occupy what volume at 80 degrees Celsius? Water has a volume expansion coefficient of 210x10^-6/degree Celsius.

Multiple Choice:

A) 1.6 L

B) 1.013 L

C) 0.987 L

D) 0.9987 L

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### 2 Answers

For every raise in degree of temperature, water will expand by the coefficient of volume expansion times the initial volume.

At 20 degree the volume of water = 1 liter

At 80 degree the raise in temperature = 80-20 = 60 C

Therefore, the expanded volume of water.1 liter + 1 liter*coefficient of volume expansion of water * raise in temperature

=1liter + 1liter*210*10^-6* 60

= 1.0126 liter.

=

Given:

Initial volume of water = v = 1 L

Initial temperature = t = 20 degree C

Final temperature = t' = 80 degree C

Volume expansion coefficient = E = 210*10^-6

Let v' be the temperature at final temperature t'

Then v' is given by the formula:

v' = v[(1 + (t' - t)*E] = 1 + (80 - 20)*(210*10^-6)

= 1 + 126*10^-4 = 1 + 0.0126 = 1.0126 L

= 1.013 L (Rounding off to the third decimal place)

Answer:

The water will occupy 1.013 L at 80 degree C. Therefore option B) in the given choices is correct.