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?

Respuesta :

Answer:

(a) -37°C

(b) 1[tex]\frac{10}{11}[/tex]minutes≈1.91 minutes

Step-by-step 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

= [tex]18-7[/tex]

=[tex]11[/tex]°C

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

[tex]= 18 - 11 - 44

       = -37°C

(b) The thermometer loses temperature at 11°C per minute. For the thermometer to read -3°C, the temperature loss must be

= 18-(-3)

= 21°C

At a temperature loss rate of 11°C, the thermometer would lose 21°C in

=[tex]\frac{21}{11}[/tex]

=1[tex]\frac{10}{11}[/tex] minutes

≈1.91 minutes