At 27C and 750mm Hg, a sample of Hydrogen occupies 5.00L. How much space will it occupy at STP? Is my calculation and answer below correct?

Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter5: Gases
Section: Chapter Questions
Problem 5.41PAE: 41 A sample of a smokestack emission was collected into 1.25-L tank at Hg and analyzed. The analysis...
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Please verify below answer:

At 27C and 750mm Hg, a sample of Hydrogen occupies 5.00L.  How much space will it occupy at STP?

Is my calculation and answer below correct?

750mm x 5L x 273K / 300K x 760mm = 4.49L rounded to 4.5

Thank you

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