Answer:
The correct answer is 1465K
Step-by-step explanation:
The formula to be used here is that of Charles' law.
Charles' law states that the volume of an ideal gas is directly proportional to its absolute temperature (in kelvin), provided that pressure remains constant. From the law above we can deduce the formula below
V₁/T₁ = V₂/T₂
where V₁ is the initial volume (2.0 L)
T₁ is the initial temperature (293K)
V₂ is the final temperature (10.0L)
T₂ is the final temperature (unknown)
From the formula, it can be deduced that
T₂ = (T₁ × V₂) ÷ V₁
T₂ = (293 × 10) ÷ 2
T₂ = 1465K
The final temperature of the balloon after heating will be 1465K