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A balloon seller filled a balloon with 2 L air when the temperature was 23.4° C. He sold the balloon at the time when temperature was recorded to 26.1°C. Volume of the balloon at this temperature is
  • a)
    2.5 L
  • b)
    3.2L
  • c)
    2.018 L
  • d)
    1.24 L
Correct answer is option 'C'. Can you explain this answer?
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Understanding the Problem
To determine the new volume of the balloon filled with air at a different temperature, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is constant.
Given Data
- Initial Volume (V1) = 2 L
- Initial Temperature (T1) = 23.4°C
- Final Temperature (T2) = 26.1°C
Converting Celsius to Kelvin
To apply Charles's Law, we need to convert the temperatures from Celsius to Kelvin.
- T1 (in K) = 23.4 + 273.15 = 296.55 K
- T2 (in K) = 26.1 + 273.15 = 299.25 K
Applying Charles's Law
Using the formula:
(V1 / T1) = (V2 / T2)
We need to find V2 (the new volume).
Rearranging the formula
V2 = V1 * (T2 / T1)
Substituting the values:
V2 = 2 L * (299.25 K / 296.55 K)
Calculating V2
V2 ≈ 2 L * 1.009 = 2.018 L
Thus, the volume of the balloon at 26.1°C is approximately 2.018 L.
Conclusion
Therefore, the correct answer is option 'C', which is 2.018 L. This calculation illustrates the direct relationship between temperature and volume as per Charles's Law, validating the result.
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A balloon seller filled a balloon with 2 L air when the temperature was 23.4° C. He sold the balloon at the time when temperature was recorded to 26.1°C. Volume of the balloon at this temperature isa)2.5 Lb)3.2Lc)2.018 Ld)1.24 LCorrect answer is option 'C'. Can you explain this answer?
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A balloon seller filled a balloon with 2 L air when the temperature was 23.4° C. He sold the balloon at the time when temperature was recorded to 26.1°C. Volume of the balloon at this temperature isa)2.5 Lb)3.2Lc)2.018 Ld)1.24 LCorrect answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A balloon seller filled a balloon with 2 L air when the temperature was 23.4° C. He sold the balloon at the time when temperature was recorded to 26.1°C. Volume of the balloon at this temperature isa)2.5 Lb)3.2Lc)2.018 Ld)1.24 LCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A balloon seller filled a balloon with 2 L air when the temperature was 23.4° C. He sold the balloon at the time when temperature was recorded to 26.1°C. Volume of the balloon at this temperature isa)2.5 Lb)3.2Lc)2.018 Ld)1.24 LCorrect answer is option 'C'. Can you explain this answer?.
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