7.
The temperature of a substance decreases
at the rate of 2o C per 10 minutes
The temperature of the substance at
5 o'clock was io°C . At what time
will the temperature of the substance
be 4°C belove zero?
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Answer:
The temperature of substance is 10 degree Celsius at 5 o' clock
The time needs to be calculated when the temperature of substance is -4 degree celsius (as it is mentioned that "4 degree Celsius below zero")
Therefore the drop in the temperature is 10 - (-4)
= 10 + 4
= 14 degrees
Let the total time required for this drop be x
For every 10 mins, there is a drop of 2 degree Celsius.
Therefore x/10 = 14/2
x = 14*10/2
x = 140/2
x = 70
So 70 minutes will be required for the substance to reach -4 degree Celsius.
70 minutes corresponds to 1 hour 10 minutes
Hence the time at which the substance would reach -4 degree Celsius is 5 o' clock +1hr 10 mins
= 6 hrs 10 mins
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