Question

In a lab, a beaker is at a temperature of64 C It is put in a freezer and itstemperature is reduced at the rate of 2per minutes What will be the temperature 36 minutesafter it is put in the freezer?

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CBSE

Chemistry

Grade 11

The Gaseous State

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In a lab, a beaker is at a temperature of 64 ∘C . It is put in a freezer and its temperature is reduced at the rate of 2∘ C per minute.

(i) After how much time will it reach 10∘C ?

(ii) What will be the temperature 36 minutes after it is put in the freezer?

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Hint :Temperature is a physical number that describes how hot or cold something is. When a body comes into contact with another that is colder or hotter, it is the manifestation of thermal energy, which is present in all matter and is the cause of the occurrence of heat, a flow of energy. The Celsius scale (previously known as centigrade, designated as ∘C ), the Fahrenheit scale (denoted as ∘F ), and the Kelvin scale (denoted as K) are the most prevalent scales. The Kelvin scale (denoted as K) is primarily used for scientific purposes under conventions of the International System of Units (SI).

Complete Step By Step Answer:

Absolute zero is the lowest theoretical temperature at which no additional thermal energy can be collected from a substance. The third rule of thermodynamics recognises that it can only be approached extremely precisely (100 pK) but not obtained experimentally. Temperature is a metric for the quality of a material's condition. Some writers refer to the attribute as "hotness," which is a more abstract concept than any specific temperature scale that quantifies it. Apart from entities kept in a continuous state of thermodynamic equilibrium, the attribute of hotness relates to the condition of material only in a specific area, and hotness fluctuates from place to place.

Now according to the question

In 1 minute the temperature reduces by 2∘ C

Hence, In 12 minute the temperature reduces by 1∘ C

64 ∘C to reach 10 ∘C it needs to lose 54oC

In 12 minute the temperature reduces by 1∘ C

Hence, In 12×54 minute the temperature reduces by 1×54 ∘C

Hence 27 minutes is required.

What will be the temperature 36 minutes after it is put in the freezer?

In 1 min, temperature reduced by 2

In 36 min, temperature reduced by 36×2∘C=72∘C .

So, the temperature after 36 min =(64−72)∘C=−8∘C

Note :

The ideal gas is a substance that may be used to create a macroscopically defined temperature scale. The pressure exerted by an ideal gas with a certain volume and mass is proportional to its temperature. Some natural gases have qualities that are so close to ideal throughout a wide temperature range that they may be used for thermometry; this was crucial during the development of thermodynamics and is still relevant today. The ideal gas thermometer, on the other hand, isn't perfect in terms of thermodynamics.