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A thermometer is taken from a room where the temperature is 18oC to the outdoors, where the temperature is −4oC. After one minute the thermometer reads 7oC. (a) What will the reading on the thermometer be after 4 more minutes? , (b) When will the thermometer read −3oC? minutes after it was taken to the outdoors?

1 Answer

3 votes

Answer:

(a) -37°C

(b) 1
(10)/(11)minutes≈1.91 minutes

Explanation:

(a) The thermometer reading was 18°C in a room and this dropped to a reading of 7°C outdoor after 1 minute hence in 1 minute, temperature (heat) loss

=
18-7

=
11°C

After 4 more minutes, the thermometer would have lost additional 44 minutes (4×11). Hence thermometer reading after 4 more minutes would be


= 18 - 11 - 44</strong></p><p><strong> &nbsp; &nbsp; &nbsp; &nbsp;= -37°C</strong></p><p><strong>(b) The thermometer loses temperature at 11°C per minute. For the thermometer to read -3°C, the temperature loss must be</strong></p><p><strong>= 18-(-3)</strong></p><p><strong>= 21°C</strong></p><p><strong>At a temperature loss rate of 11°C, the thermometer would lose 21°C in</strong></p><p><strong>=[tex](21)/(11)

=1
(10)/(11) minutes

≈1.91 minutes

User Edward J Beckett
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