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14 changes: 9 additions & 5 deletions xarray/backends/api.py
Original file line number Diff line number Diff line change
Expand Up @@ -810,11 +810,15 @@ def open_dataarray(
)

if len(dataset.data_vars) != 1:
raise ValueError(
"Given file dataset contains more than one data "
"variable. Please read with xarray.open_dataset and "
"then select the variable you want."
)
if len(dataset.data_vars) == 0:
msg = "Given file dataset contains no data variables."
else:
msg = (
"Given file dataset contains more than one data "
"variable. Please read with xarray.open_dataset and "
"then select the variable you want."
)
raise ValueError(msg)
else:
(data_array,) = dataset.data_vars.values()

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