Answer:
183.22mL
Step-by-step explanation:
Using Charles law equation, which is as follows:
V1/T1 = V2/T2
Where;
V1 = initial volume (mL)
T1 = initial temperature (K)
V2 = final volume (mL)
T2 = final temperature (K)
Note that standard temperature of a gas is 273K.
Hence, based on the provided information, V1 = 500.0mL, T1 = 745K, V2 = ?, T2 = 273K
Using the formula; V1/T1 = V2/T2
500/745 = V2/273
Cross multiply
V2 × 745 = 500 × 273
745V2 = 136500
V2 = 136500/745
V2 = 183.22
At standard temperature (273K), the new volume will be 183.22mL.